Timeline for Length of a module over different rings
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Sep 20, 2010 at 18:56 | comment | added | TonyS | Thank you very much. That looks very good. I think i will take a deeper look in the book you mentioned. | |
| Sep 20, 2010 at 18:53 | vote | accept | TonyS | ||
| Sep 20, 2010 at 17:45 | comment | added | Manny Reyes | Oops, thanks for the correction. I read "artinian local" rather than "regular local." I've edited my answer accordingly; hopefully there aren't too many more mistakes. I'm assuming that, rather than simply any finitely generated $R$-algebra, you want a module-finite $R$-algebra. Please correct me if I'm wrong. | |
| Sep 20, 2010 at 17:43 | history | edited | Manny Reyes | CC BY-SA 2.5 |
Edited in light of the fact that $R$ is local but not artinian.
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| Sep 20, 2010 at 13:34 | comment | added | TonyS | Thanks for your answer. So basically i have to compute the $R$-length of simple $S$-modules. Just one question is left to your answer to my first question: Why should $R$ be artinian, i.e. of finite length over itself? I just assume its a regular local ring. | |
| Sep 18, 2010 at 22:55 | history | answered | Manny Reyes | CC BY-SA 2.5 |